83810000160 has 288 divisors, whose sum is σ = 312207255360. Its totient is φ = 21172866048.

The previous prime is 83810000159. The next prime is 83810000189. The reversal of 83810000160 is 6100001838.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×83810000160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681994 + ... + 795446.

It is an arithmetic number, because the mean of its divisors is an integer number (1084052970).

Almost surely, 2^83810000160 is an apocalyptic number.

83810000160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83810000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156103627680).

83810000160 is an abundant number, since it is smaller than the sum of its proper divisors (228397255200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83810000160 is a wasteful number, since it uses less digits than its factorization.

83810000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113502 (or 113482 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 83810000160 its reverse (6100001838), we get a palindrome (89910001998).

The spelling of 83810000160 in words is "eighty-three billion, eight hundred ten million, one hundred sixty", and thus it is an aban number.